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Finding the Fourth Proportional to 25,165.30, 37,747.82 and 6,445.30

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Solution

The fourth proportional to 25,165.30, 37,747.82 and 6,445.30 is: 9,667.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,165.30 : 37,747.82 = 6,445.30 : x
  2. Step 2: Convert to fraction form
    25,165.30/37,747.82 = 6,445.30/x
  3. Step 3: Cross multiply
    25,165.30x = 37,747.82 × 6,445.30
  4. Step 4: Simplify right side
    25,165.30x = 243,296,024.25
  5. Step 5: Solve for x
    x = 243,296,024.25/25,165.30
  6. Step 6: Final answer
    x = 9,667.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.